Characteristics of Quadratic Equations

Find the axis of symmetry for
f\left(x\right)=x^2-8x+15

• x = -4

• x = 4

• y = 4

• y = -4

How does the coefficient '4' affect the width of the parabola in the equation y = 4(x+1)^2 - 2?

• The coefficient '4' makes the parabola narrower.

• The coefficient '4' makes the parabola a straight line.

• The coefficient '4' makes the parabola wider.

• The coefficient '4' has no effect on the width of the parabola.

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

Vertex: ​ (a)  

Y-intercept: ​ (b)  

Axis of Symmetry: ​ (c)  

Max or min: ​ (d)  

Max or Min value:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max

• y = 4

• 4,3

• (4,3)

• (-5,0)

• y = 3

• Min

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

g

f

b

e

a

Zero smaller value

Zero larger value

Axis of Symmetry: x = -4

Maximum

Axis of Symmetry: x = 0

Axis of Symmetry: x = -2

Minimum

Vertex (-2, 4)

Vertex (-4, 2)

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

f

h

c

b

e

Vertex (3, -4)

Axis of Symmetry: x = -4

Smaller Zero Value

Minimum

Maximum

Axis of Symmetry: x = 3

Vertex (-4, 3)

Larger Zero Value

In the function y = -4(x + 3)^2 + 5, what are the coordinates of the maximum point?

• (-3, 5)

• (3, -5)

• (5, -3)

• (-5, 3)